Renormalization Analysis for Degenerate Eigenvalues

Markus Lange
(Jena University)
Analysis Seminar
Thursday, 2 March, 2017, at 16:15-17:15, in Aud. D4 (1531-219)
Abstract:
We consider a quantum mechanical system, which is modeled by a Hamiltonian acting on a finite dimensional space with degenerate eigenvalues interacting with a field of relativistic bosons. Provided a mild infrared assumption holds, we prove existence of the ground state eigenvalues and ground state eigenvectors using operator theoretic renormalization. We show that the eigenvectors and eigenvalues are analytic functions of the coupling constant in a cone with apex at the origin.
Contact person: Jacob Schach Møller